10039588697961 has 21 divisors (see below), whose sum is σ = 15052625451559. Its totient is φ = 6693002098416.

The previous prime is 10039588697933. The next prime is 10039588697987. The reversal of 10039588697961 is 16979688593001.

The square root of 10039588697961 is 3168531.

It is a perfect power (a square), and thus also a powerful number.

10039588697961 is a `hidden beast` number, since 1 + 0 + 0 + 39 + 588 + 6 + 9 + 7 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3689914437225 + 6349674260736 = 1920915^2 + 2519856^2 .

It is not a de Polignac number, because 10039588697961 - 2¹⁹ = 10039588173673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10039588697961.

It is not an unprimeable number, because it can be changed into a prime (10039588697911) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 85491661 + ... + 85609013.

Almost surely, 2^{10039588697961} is an apocalyptic number.

10039588697961 is the 3168531-st square number.

10039588697961 is the 1584266-th centered octagonal number.

It is an amenable number.

10039588697961 is a deficient number, since it is larger than the sum of its proper divisors (5013036753598).

10039588697961 is an frugal number, since it uses more digits than its factorization.

10039588697961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234724 (or 117356 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 10039588697961 in words is "ten trillion, thirty-nine billion, five hundred eighty-eight million, six hundred ninety-seven thousand, nine hundred sixty-one".